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Using division of polynomials state whet...

Using division of polynomials state whether
`x+6` is factor of`x^2-x-42`
`4x-1`is factor of`4x^2-13 x-12`
`2y-5`is factor of `4y^4-10 y^3 10^2+30 y-15`
`3y^2+5`is factor of `6y^5+15^4+16^3+4y^2+10 y-35`

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RD SHARMA-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Verify division algorithm i.e. Dividend = Divisor x Quotient + Remai...

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  2. Divide 15 y^4+16 y^3+(10)/3y-9y^2-6\ \ b y\ \ \ 3y-2. Write down the c...

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  3. Using division of polynomials state whether x+6 is factor ofx^2-x-4...

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  4. Find the value of a, if x+2\ is a factor of \ 4x^4+2x^3-3x^3+8x+5adot

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  5. What must be added to x^4+2x^3-2x^2+x-1\ so that the resulting polyno...

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  6. Divide x^4-x^3+x^2+5\ b y\ (x+1) and write the quotient and remainder.

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  7. Divided: 16 x^4+12 x^3-10 x^2+8x+20\ b y\ 4x-3. Also write the quotien...

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  8. Divide 12 x^3-8x^2-6x+10\ b y\ (3x-2)dot Also, write the quotient and ...

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  9. Divide 8y^3-6y^2+4y-1\ b y\ 4y+2. Also write the quotient and the rema...

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  10. Divide: x^3-6x^2+11 x-6\ b y\ \ x^2-4x+3

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  11. Divide the first polynomial by the second polynomial in each of the ...

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  12. Divide the first polynomial by the second polynomial in each of the ...

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  13. Find , whether or not the first polynomial is a factor of the second...

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  14. Find , whether or not the first polynomial is a factor of the second...

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  15. Find , whether or not the first polynomial is a factor of the second...

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  16. Divide: 35 a^2+32 a-99\ b y\ 7a-9 a x^2+(b+a c)x+b c\ b y\ x+c

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  17. Divide (a^(4) - b^(4)) by a - b and find the quotient and remainder .

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  18. Divide: a^(12)+a^6b^6+b^(12)\ \ b y\ \ a^6-a^3b^3+b^6

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  19. Divide: x^(4a)+x^(2a)y^(2b)+y^(4b)\ b y\ \ x^(2a)+\ x^a\ y^b+\ y^(2b)

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  20. Divide: x^2-5x+6b y\ x-3 (ii) a x^2-a y^2b y\ a x+a y

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